Anne Kates house is 20c. She had just made a fresh cup of tea (100c). Five minutes after she made her mad scientist nephew came in, stuck a thermometer in the cup and announced that the tea was now only 70c Write the possible equation with asymptotes

The possible equation is; T(t) = 20 + 80·

The horizontal asymptotes is Lim(t → ∞), T → 20°C

The vertical asymptote is Lim(t → 0) T → 100°C

Step-by-step explanation:

The given parameters are;

The temperature of the house = 20°C

The initial temperature of the tea = 100°C

The temperature of the tea after 5 minutes = 70°C

From Newton's law of cooling, is given as follows;

Where;

T(t) = The temperature after time, t =

=The room temperature = 20°C

T₀ = The initial temperature of the tea = 100°C

k = Constant

T(5) = 70°C, therefore, we have;

50/80 =

5·k = ㏑(5/8)

k = ㏑(5/8)/5 ≈ -0.094

Therefore, the possible equation is given as follows;

T(t) = 20 + 80·

The asymptotes are Lim(t → ∞), T → 20°C  and Lim(t → 0) T → 100°C

unpaid balance is : $149.99-$50 = $99.99 new balance = 149.99+2.62-50 = $102.61 finance charge = 99.99- 0.21/12= $1.75 new balance = 99.99+1.75 = $101.74 average daily balance method average daily balance= 3399.70/30 = $113.32 finance charge = $ 0.21/12ă—113.32 = $1.98 new balance = $149.99-50+1.98 = $101.97

answer: 1, 3 and 5 are correct

step-by-step explanation: